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A few remarks on connnected sets in hyperspaces of hereditarily disconnected spaces. (English) Zbl 0974.54006

Summary: We provide several observations about connected sets in the space of compact subsets of hereditarily disconnected separable spaces, related to a question asked by A. Illanes and Sam B. Nadler jun. [Hyperspaces: fundamentals and recent advances, Pure Appl. Math., Marcel Dekker 216 (1999; Zbl 0933.54009), Question 83.5].

MSC:

54B20 Hyperspaces in general topology
54D05 Connected and locally connected spaces (general aspects)

Citations:

Zbl 0933.54009
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